Yes, wages that are currently above the minimum should go up as well - it shouldn't just impact the lowest but progressively up the scale.
The problem isn't the people near the bottom, it's the people at the top who take an ever larger share of profits.
Wages have stagnated compared to CEO pay since RayGun-nomics and the fallacy of trickle-down wealth.
We need regular people to be able to support themselves, pay for their kids college and be able to retire. If people are working and having to claim government support then the company paying them too little is stealing from the tax payers.